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3 years ago

Which value would be a solution for x in the inequality 47-4x<7

Mathematics

1 answer:

cluponka [151]3 years ago

5 0

Answer:

x > 10

Step-by-step explanation:

47-4x<7

Subtract 47 from each side

47-47-4x<7-47

-4x < -40

Divide by -4. When dividing by a negative, flip the inequality.

-4x/-4 > -40/-4

x > 10

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Which of the following is a solution of y - x < -3?

Mariulka [41]

Answer:

Option A. (6,2)

Step-by-step explanation:

We have the following inequality:

$y- x$

Solving for y we have:

$y$

The line that limits the region of inequality is

$y = x-3$

Then the region of inequality are all values of y that are less than $f (x) = x-3$

In other words, the points belonging to the inequality are all those that lie below the line.

To find out which point belongs to this region substitute inequality and observe if it is satisfied

A. (6,2)

$2$

$2$ is satisfied

B. (2, 6)

$6$

$6$ it is not satisfied

C. (2, -1)

$-1$

$-1$ it is not satisfied

The answer is the option A

4 0

3 years ago

HELPPP!!!! 110 points if you get it correct before the 4th of october!!!1

skelet666 [1.2K]

Answer:

5.7, 6.9, 5, 7.1

Step-by-step explanation:

The absolute value of a number shows its distance from 0 on the number line, meaning it must always be positive since distance is positive. You have to perform the operations indicated on each expression to the left and match it to the correct value on the right. I got 5.7, 6.9, 5, 7.1 in order from top to bottom after adding and subtracting the numbers to the left.

4 0

3 years ago

Read 2 more answers

A simple random sample of size nequals57 is obtained from a population with muequals69 and sigmaequals2. Does the population nee

dusya [7]

Answer:

The population does not need to be normally distributed for the sampling distribution of $\bar{X}$ to be approximately normally distributed. Because of the central limit theorem. The sampling distribution of $\bar{X}$ is approximately normal.

Step-by-step explanation:

We have a random sample of size $n = 57$ from a population with $\mu = 69$ and $\sigma = 2$ . Because n is large enough (i.e., n > 30) and $\mu$ and $\sigma$ are both finite, we can apply the central limit theorem that tell us that the sampling distribution of $\bar{X}$ is approximatelly normally distributed, this independently of the distribution of the random sample. $\bar{X}$ is asymptotically normally distributed is another way to state this.